A common theme among the three CAMPA locations is that accelerator physicists have opportunities to collaborate with applied mathematicians and computer scientists in a coherent structure. LBNL, for instance, is the home not only of accelerator-modeling expertise, but also a pair of invaluable central resources for modeling and simulation: a strong and highly collaborative computational research division, and the National Energy Research Supercomputing Center. The result: advanced algorithms, realized in more-capable codes with more-accurate multiphysics content, thus accelerating the pace of advancement in accelerator science.
Algorithm Development
CAMPA’s codes contain a remarkably large number of novel algorithms (including the “Lorentz boosted frame” approach) that were introduced by the developers. Many of these algorithms have been adopted elsewhere. The culture of innovation that permeates the CAMPA team will be a key asset for addressing the multiple challenges that will arise with the consolidation of code suites, the addition of new physics, and the porting of codes to emerging platforms.
| Algorithm/method | Reference | Originated | Adopted by |
| Parallel finite-element frequency domain eigensolver | Zhan, Stanford Ph.D. thesis 1998 | ACE3P | |
| Stochastic Leap-Frog for Brownian motion | Qiang & Habib, PRE 2000 | IMPACT | |
| Spectral-finite difference multigrid solver | Qiang & Ryne, CPC 2001 | IMPACT | |
| Improved Perfectly Matched Layers | Vay, JCP 2000/JCP 2002 | Warp | Osiris |
| AMR-PIC electrostatic | Vay et al., LPB2002 | Warp | |
| Filter algorithm for large-scale eigenvalue problems | Sun, Stanford Ph.D. thesis 2003 | ACE3P | |
| Visualization of large, complex line-based datasets | Schussman, UC Davis Ph.D. thesis 2003 | ACE3P | |
| Secondary emission of electrons algorithm | Furman & Pivi, PRST-AB 2003 | Posinst | TxPhysics, Warp, spacecraft charging codes |
| AMR-PIC electromagnetic | Vay et al., CPC 2004 | Emi2D | Warp |
| 3D Poisson solver with large aspect ratio | Qiang & Gluckstern, CPC 2004 | IMPACT | |
| Shift-Green function method | Qiang et al, CPC 2004 | BeamBeam3D | |
| Integrated Green function | Ryne & Qiang | ML/IMPACT, BeamBeam3D, IMPACT |
ASTRA, OPAL |
| Hybrid Lorentz particle pusher | Cohen et al., NIMA 2007 | Warp | |
| Lorentz boosted frame | Vay, PRL 2007 | Warp | INF&RNO, JPIC, Osiris, Vorpal |
| Explicit Lorentz invariant particle pusher | Vay, PoP 2008 | Warp | Tristan, THISMPI,
Photon-Plasma, PIConGPU |
| Parallel time domain and PIC in finite element | Candel et al., ICAP 2009 | ACE3P | |
| Shape determination of accelerator cavities | Akcelik et al., JCP 2009 | ACE3P | |
| Adaptive error estimators for electromagnetic field solvers | Chen, Stanford Ph.D. thesis 2009 | ACE3P | |
| High-order FFT method for convolution integral w/ smooth kernel | Qiang, CPC 2010 | N/A | |
| Mixed Particle-Field decomposition method | Qiang & Li, CPC 2010 | BeamBeam3D | IMPACT, Synergia |
| Moving window technique in unstructured grid | Lee et al., JCP 2010 | ACE3P | |
| PIC with tunable electromagnetic solver | Vay et al., JCP 2011 | Warp | Vorpal, Osiris |
| Efficient digital filter for PIC | Vay et al., JCP 2011 | Warp | Vorpal, Osiris |
| Domain decomposition for EM spectral solver | Vay et al., JCP 2013 | Warp |
